Critical Points Practice

Critical Points Practice

12th Grade

14 Qs

quiz-placeholder

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Critical Points Practice

Critical Points Practice

Assessment

Quiz

Mathematics

12th Grade

Medium

Created by

Tricia Bourgeault

Used 7+ times

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the critical points of the following function:
g(x)=2x3-3x2

x=-1,1
x=0,0
x=0,-1
x=0,1

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the relative maximum value?

y = 4
y = 2
y = 1
y = -1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given a function g(x), if g'(x)=0 at a certain value of x, then g(x) has _____________ at x.

an inflection point
a critical point
a minimum
a maximum

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the derivative of the given equation
f(x) = x3 + x2 + 3

3x2 + 2x
3x + 2x 
3x + 2x + 3
x3 + x2 

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When f'(x) changes from negative to positive, there is(are) ...

a maximum.
a minimum.
no extrema.

6.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Find all the critical numbers of

f(x) = 2x3 – 6x2 + 12

Select ALL that apply.

x= 4

x= 0

x= -2

x= 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the critical number of f(x) = 4x2 – 8x + 1

x = 2

x = 0

x = 8

x = 1

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